22013103312 has 120 divisors (see below), whose sum is σ = 64295829000. Its totient is φ = 7021830144.

The previous prime is 22013103289. The next prime is 22013103313. The reversal of 22013103312 is 21330131022.

22013103312 is a `hidden beast` number, since 2 + 20 + 1 + 310 + 331 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 499254336 + 21513848976 = 22344^2 + 146676^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013103313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448564 + ... + 495212.

It is an arithmetic number, because the mean of its divisors is an integer number (535798575).

Almost surely, 2^22013103312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32147914500).

22013103312 is an abundant number, since it is smaller than the sum of its proper divisors (42282725688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22013103312 is a wasteful number, since it uses less digits than its factorization.

22013103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46805 (or 46796 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22013103312 its reverse (21330131022), we get a palindrome (43343234334).

The spelling of 22013103312 in words is "twenty-two billion, thirteen million, one hundred three thousand, three hundred twelve".